Let `A(a,0) and B(b,0)` be fixed distinct points on the x-axis, none of which coincides with the `O(0,0)`, and let C be a point on the y-axis. Let L be a line through the `O(0,0)` and perpendicular to the line AC. The locus of the point of intersection of the lines L and BC if C varies along is (provided `c^2 +ab != 0`)

91. Let A(a, 0) and B(b, 0) be fixed distinct points on the r-axis, none of which coincides with the origin O(0, 0) and let Cbe a point on the y-axis. Let L be a line through the O(0, 0) and perpendicular to the line AC. The locus of the point of intersection of the lines L and BC if C varies along the y-axis, is (provided c2 + a04 0) (6) 2 and loc

Equation of the straight line perpendicular to the line x-y+5=0, through the point of intersection the y-axis and the given line

Let coordinates of the points A and B are (5,0) and (0,7) respectively. P and Q the variable point lying on the x-axis and y-axis respectively so that PQ is always perpendicular to the line AB. The locus of the point of intersection BP and AQ is

Let A be the fixed point (0, 4) and B be a moving point on x-axis. Let M be the midpoint of AB and let the perpendicular bisector of AB meets the y-axis at R. The locus of the midpoint P of MR is

Let l be the line through (0,0) an tangent to the curve y = x^(3)+x+16. Then the slope of l equal to :

Let l be the line through (0,0) an tangent to the curve y = x^(3)+x+16. Then the slope of l equal to :

Let A be a fixed point (0,6) and B be a moving point (2t,0). Let M be the mid-point of AB and the perpendicular bisector of AB meets the y-axis at C. The locus of the mid-point P of MC is :

A line L passeds through the points (1,1) and (2,0) and another line L' passes through ((1)/(2), 0) and perpendicular to L. Then the area of the triangle formed by the lines L, L' and Y-axis is

A line L passeds through the points (1,1) and (2,0) and another line L' passes through ((1)/(2), 0) and perpendicular to L. Then the area of the triangle formed by the lines L, L' and Y-axis is